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" (iii) "sqrt((1+sin theta)/(1-sin theta...

" (iii) "sqrt((1+sin theta)/(1-sin theta))=sec theta+tan theta

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Prove the following identities : sqrt((1+sin theta)/(1-sin theta)) = sec theta + tan theta where theta is a acute

Prove each of the following identities : (i) sqrt((1+ sin theta)/(1- sin theta)) = ( sec theta + tan theta) (ii) sqrt((1- cos theta)/(1+ cos theta))= ("cosec" theta - cot theta) (iii) sqrt((1+ cos theta)/(1- cos theta))+ sqrt((1- cos theta)/(1+ cos theta)) = 2 "cosec" theta

Prove that : sqrt((1 - sin theta)/(1 + sin theta)) = sec theta - tan theta

Prove that sqrt((1+sin theta)/(1-sin theta))=sec theta+tan theta

Prove that : sqrt((1-sin theta)/(1+sin theta))= {(sec theta- tan theta, if -pi/2 < theta< pi/2), (-sec theta+ tan theta, if pi/2 < theta< (3 pi)/2):} .

Prove the following trigonometric identities: sqrt((1-sin theta)/(1+sin theta))=sec theta-tan thetasqrt((1+cos theta)/(1-cos theta))=csc theta+cot theta

Prove that sqrt((1-sin theta)/(1+sin theta))=sec theta-tan theta

Prove the following identity : sqrt ((1+sin theta)/ (1-sin theta)) = {{:(sec theta+tan theta, if -pi/2 lt theta lt pi/2),( -sec theta-tan theta, if pi/2 lt theta lt (3pi)/2):} .

(8) (1+sin theta)/(1-sin theta)=(sec theta+tan theta)^(2)